Using the finite cell method to predict crack initiation in ductile materials

M. Ranjbar; M. Mashayekhi; J. Parvizian; A. Düster; E. Rank

doi:10.1016/j.commatsci.2013.10.012

Using the finite cell method to predict crack initiation in ductile materials

M. Ranjbar
, M. Mashayekhi
, J. Parvizian
, A. Düster
, E. Rank

Engineering and Design

Isfahan University of Technology
Technische Universität Hamburg-Harburg

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

In this paper, the Finite Cell Method (FCM) is used to predict the crack evolution in ductile materials under small strains and nonlinear isotropic hardening conditions. The FCM is the result of combining the p-version finite element and fictitious domain methods, and has been shown to be effective in solving problems with complicated geometries for which the meshing procedure can be quite expensive. The crack evolution is introduced to the constitutive equations by using the simplified Lemaitre ductile damage model. The performance of the method is verified by means of two numerical examples in both 2D and 3D problems.

Original language	English
Pages (from-to)	427-434
Number of pages	8
Journal	Computational Materials Science
Volume	82
DOIs	https://doi.org/10.1016/j.commatsci.2013.10.012
State	Published - 2014

Keywords

Crack initiation
Ductile damage
FCM
High-order FEM

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10.1016/j.commatsci.2013.10.012

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title = "Using the finite cell method to predict crack initiation in ductile materials",

abstract = "In this paper, the Finite Cell Method (FCM) is used to predict the crack evolution in ductile materials under small strains and nonlinear isotropic hardening conditions. The FCM is the result of combining the p-version finite element and fictitious domain methods, and has been shown to be effective in solving problems with complicated geometries for which the meshing procedure can be quite expensive. The crack evolution is introduced to the constitutive equations by using the simplified Lemaitre ductile damage model. The performance of the method is verified by means of two numerical examples in both 2D and 3D problems.",

keywords = "Crack initiation, Ductile damage, FCM, High-order FEM",

author = "M. Ranjbar and M. Mashayekhi and J. Parvizian and A. D{\"u}ster and E. Rank",

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doi = "10.1016/j.commatsci.2013.10.012",

language = "English",

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T1 - Using the finite cell method to predict crack initiation in ductile materials

AU - Ranjbar, M.

AU - Mashayekhi, M.

AU - Parvizian, J.

AU - Düster, A.

AU - Rank, E.

PY - 2014

Y1 - 2014

N2 - In this paper, the Finite Cell Method (FCM) is used to predict the crack evolution in ductile materials under small strains and nonlinear isotropic hardening conditions. The FCM is the result of combining the p-version finite element and fictitious domain methods, and has been shown to be effective in solving problems with complicated geometries for which the meshing procedure can be quite expensive. The crack evolution is introduced to the constitutive equations by using the simplified Lemaitre ductile damage model. The performance of the method is verified by means of two numerical examples in both 2D and 3D problems.

AB - In this paper, the Finite Cell Method (FCM) is used to predict the crack evolution in ductile materials under small strains and nonlinear isotropic hardening conditions. The FCM is the result of combining the p-version finite element and fictitious domain methods, and has been shown to be effective in solving problems with complicated geometries for which the meshing procedure can be quite expensive. The crack evolution is introduced to the constitutive equations by using the simplified Lemaitre ductile damage model. The performance of the method is verified by means of two numerical examples in both 2D and 3D problems.

KW - Crack initiation

KW - Ductile damage

KW - FCM

KW - High-order FEM

UR - https://www.scopus.com/pages/publications/84888172209

U2 - 10.1016/j.commatsci.2013.10.012

DO - 10.1016/j.commatsci.2013.10.012

M3 - Article

AN - SCOPUS:84888172209

SN - 0927-0256

VL - 82

SP - 427

EP - 434

JO - Computational Materials Science

JF - Computational Materials Science

ER -

Using the finite cell method to predict crack initiation in ductile materials

Abstract

Keywords

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